Lie Symmetry Reductions, Exact Solutions and Conservation Laws of the Third Order Variant Boussinesq System

• Authors: E. Yaşar , İ. Giresunlu
• Languages of publication: EN

Abstracts

EN

The Lie group method is applied to the third order variant Boussinesq system, which arises in the modelling of the water waves. The symmetry reductions and invariant solutions are obtained with respect to Lie point symmetry generators of the underlying system. In addition, we derive conservation laws of the variant Boussinesq system.

Keywords

EN

02.30.Ik; 02.30.Jr; 47.35.Fg

Discipline

• 02.30.Ik: Integrable systems
• 47.35.Fg: Solitary waves
• 02.30.Jr: Partial differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 3
• Pages: 252-255

Dates

published

2015-09

received

2015-03-27

Contributors

author

E. Yaşar

• Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059, Bursa, Turkey

author

İ. Giresunlu

• Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059, Bursa, Turkey

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Identifiers

DOI

10.12693/APhysPolA.128.252